Description Logic Programs Under Probabilistic Uncertainty and Fuzzy Vagueness

<p>This paper is directed towards an infrastructure for handling both uncertainty and vagueness in the Rules, Logic, and Proof layers of the Semantic Web. More concretely, we present probabilistic fuzzy description logic programs, which combine fuzzy description logics, fuzzy logic programs (w...

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Main Authors: Lukasiewicz, T, Straccia, U
格式: Conference item
出版: Springer 2007
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author Lukasiewicz, T
Straccia, U
author_facet Lukasiewicz, T
Straccia, U
author_sort Lukasiewicz, T
collection OXFORD
description <p>This paper is directed towards an infrastructure for handling both uncertainty and vagueness in the Rules, Logic, and Proof layers of the Semantic Web. More concretely, we present probabilistic fuzzy description logic programs, which combine fuzzy description logics, fuzzy logic programs (with stratified nonmonotonic negation), and probabilistic uncertainty in a uniform framework for the Semantic Web. We define important concepts dealing with both probabilistic uncertainty and fuzzy vagueness, such as the expected truth value of a crisp sentence and the probability of a vague sentence. Furthermore, we describe a shopping agent example, which gives evidence of the usefulness of probabilistic fuzzy description logic programs in realistic web applications. In the extended report, we also provide algorithms for query processing in probabilistic fuzzy description logic programs, and we delineate a special case where query processing can be done in polynomial time in the data complexity.</p>
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spelling oxford-uuid:36a2c127-fe0c-402c-92c8-3f63860077d32022-03-26T13:39:03ZDescription Logic Programs Under Probabilistic Uncertainty and Fuzzy VaguenessConference itemhttp://purl.org/coar/resource_type/c_5794uuid:36a2c127-fe0c-402c-92c8-3f63860077d3Department of Computer ScienceSpringer2007Lukasiewicz, TStraccia, U<p>This paper is directed towards an infrastructure for handling both uncertainty and vagueness in the Rules, Logic, and Proof layers of the Semantic Web. More concretely, we present probabilistic fuzzy description logic programs, which combine fuzzy description logics, fuzzy logic programs (with stratified nonmonotonic negation), and probabilistic uncertainty in a uniform framework for the Semantic Web. We define important concepts dealing with both probabilistic uncertainty and fuzzy vagueness, such as the expected truth value of a crisp sentence and the probability of a vague sentence. Furthermore, we describe a shopping agent example, which gives evidence of the usefulness of probabilistic fuzzy description logic programs in realistic web applications. In the extended report, we also provide algorithms for query processing in probabilistic fuzzy description logic programs, and we delineate a special case where query processing can be done in polynomial time in the data complexity.</p>
spellingShingle Lukasiewicz, T
Straccia, U
Description Logic Programs Under Probabilistic Uncertainty and Fuzzy Vagueness
title Description Logic Programs Under Probabilistic Uncertainty and Fuzzy Vagueness
title_full Description Logic Programs Under Probabilistic Uncertainty and Fuzzy Vagueness
title_fullStr Description Logic Programs Under Probabilistic Uncertainty and Fuzzy Vagueness
title_full_unstemmed Description Logic Programs Under Probabilistic Uncertainty and Fuzzy Vagueness
title_short Description Logic Programs Under Probabilistic Uncertainty and Fuzzy Vagueness
title_sort description logic programs under probabilistic uncertainty and fuzzy vagueness
work_keys_str_mv AT lukasiewiczt descriptionlogicprogramsunderprobabilisticuncertaintyandfuzzyvagueness
AT stracciau descriptionlogicprogramsunderprobabilisticuncertaintyandfuzzyvagueness